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110125312220 = 225711130354881
BaseRepresentation
bin110011010001111111…
…0101110100011011100
3101112020211012111102102
41212203332232203130
53301014034442340
6122331343344232
710646002465130
oct1464376564334
9345224174372
10110125312220
1142781960030
12194148b2078
13a500463a51
145489ac33c0
152ce80ec215
hex19a3fae8dc

110125312220 has 96 divisors (see below), whose sum is σ = 288554628096. Its totient is φ = 34297804800.

The previous prime is 110125312217. The next prime is 110125312247. The reversal of 110125312220 is 22213521011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110125312192 and 110125312201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1979180 + ... + 2034060.

It is an arithmetic number, because the mean of its divisors is an integer number (3005777376).

Almost surely, 2110125312220 is an apocalyptic number.

110125312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110125312220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144277314048).

110125312220 is an abundant number, since it is smaller than the sum of its proper divisors (178429315876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110125312220 is a wasteful number, since it uses less digits than its factorization.

110125312220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56211 (or 56209 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 110125312220 its reverse (22213521011), we get a palindrome (132338833231).

The spelling of 110125312220 in words is "one hundred ten billion, one hundred twenty-five million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1303 1540 2606 5212 6515 9121 13030 14333 18242 26060 28666 36484 45605 54881 57332 71665 91210 100331 109762 143330 182420 200662 219524 274405 286660 384167 401324 501655 548810 603691 768334 1003310 1097620 1207382 1536668 1920835 2006620 2414764 3018455 3841670 4225837 6036910 7683340 8451674 12073820 16903348 21129185 42258370 71509943 84516740 143019886 286039772 357549715 500569601 715099430 786609373 1001139202 1430198860 1573218746 2002278404 2502848005 3146437492 3933046865 5005696010 5506265611 7866093730 10011392020 11012531222 15732187460 22025062444 27531328055 55062656110 110125312220